Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after
2 answers:
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Answer:
see explanation
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 3)² + (y + 4)² = 36 ← is in standard form
with (h, k) = (3, - 4 ) = centre and r = = 6
Susan interpreted the values of h and k incorrectly by using the values - 3 and 4 instead of taking the negative of them.
She also divided 36 by 2 , thus omitting the root of 36
When counting any sequence, it helps to have a simpler sequence to compare it to. The simplest one that I can think of is
because you instantly can tell the number of terms in the sequence by looking at the last number. We can see from the graph that the first few terms of the sequence a are 1, -3, -7, and we're told that its last term is -83. Our goal then is to turn this sequence:
into this one:
The first thing which stands out in this sequence is the number of negative terms, so let's fix that by multiplying every term by -1:
Now, the main property of any arithmetic sequence is that they <em>increase or decrease by some constant amount</em>. Here, that number is 4, since -3 = 1 - 4 and -7 = -3 - 4. Knowing the importance of 4 in this sequence, our next step might be to turn every term into a multiple of 4 by adding 1:
and since we're dealing with multiples of 4, a natural next step might be to divide every term by 4:
And lastly, we can add 1 to every term to get our sequence into easily-countable form:
So, the sequence a has 22 terms.